Reference no: EM131555007

Question: If water is drained from a vertical cylindrical tank by opening a valve at the base, the water will flow fast when the tank is full and slow down as it continues to drain. As it turns out, the rate at which the water drop is: where k is constant depending on the shape of the hole, the cross-sectional area of the tank and drain hole. The depth of the water y is measured in meters and the time t in minutes. If k= 0.5, determine how long it takes the tank to drain if the fluid level is initially 3 m. Solve the problem by applying classical fourth-order Runge-Kutta method. Used a step size 0.5 minutes.